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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
2612369626968578 ~1984
2612431470237598 ~1983
2612791418046578 ~1983
261299952259997 ~1981
2613113627147138 ~1984
2613139470365038 ~1983
2613227209058178 ~1983
261332352266477 ~1981
2613361156801678 ~1982
26135391097686399 ~1984
2613769575029198 ~1984
2613839246746401710 ~1988
2613847418215538 ~1983
2613901156834078 ~1982
2613953156837198 ~1982
2614067209125378 ~1983
261421152284237 ~1981
2614397156863838 ~1982
261451152290237 ~1981
2614681156880878 ~1982
2614747418359538 ~1983
261488352297677 ~1981
26148832353394719
26149871516692479 ~1985
2615083418413298 ~1983
Exp. Prime Factor Digits Year
2615089575319598 ~1984
261518352303677 ~1981
261521952304397 ~1981
261535152307037 ~1981
26154616067869539 ~1986
2615477156928638 ~1982
2615519209241538 ~1983
2615531209242498 ~1983
2615533418485298 ~1983
26155931046237219 ~1984
2615653784695918 ~1984
2615761575467438 ~1984
2615803418528498 ~1983
261583152316637 ~1981
2615903627816738 ~1984
261602352320477 ~1981
261614352322877 ~1981
2616469784940718 ~1984
261667152333437 ~1981
261668352333677 ~1981
26167732721443939 ~1985
2616829575702398 ~1984
261686352337277 ~1981
261692352338477 ~1981
261695952339197 ~1981
Exp. Prime Factor Digits Year
2616959471052638
2617001157020078 ~1982
2617103680446798 ~1984
261727152345437 ~1981
2617313366423838 ~1983
2617379471128238 ~1983
2617613366465838 ~1983
2617613785283918
2617673366474238 ~1983
261769152353837 ~1981
261779952355997 ~1981
2617957157077438 ~1982
2618027471244878 ~1983
2618117628348098 ~1984
2618179628362978 ~1984
261841152368237 ~1981
2618587628460898 ~1984
2618593628462338 ~1984
2618633157117998 ~1982
26186531047461219 ~1984
2618717157123038 ~1982
2618773628505538 ~1984
2618893576156478 ~1984
2618927209514178 ~1983
2618983628555938 ~1984
Exp. Prime Factor Digits Year
2619053157143198 ~1982
2619277628626498 ~1984
26193731204911599 ~1984
2619917628780098 ~1984
2619931261993118 ~1983
262019952403997 ~1981
2620207419233138 ~1983
2620279262027918 ~1983
2620483262048318 ~1983
262061952412397 ~1981
2620637157238238 ~1982
262115952423197 ~1981
2621207471817278 ~1983
262121952424397 ~1981
262135152427037 ~1981
2621369209709538 ~1983
262160352432077 ~1981
26216991258415539 ~1984
2621761576787438 ~1984
2621897367065598 ~1983
2622121157327278 ~1982
2622293157337598 ~1982
2622307891584398 ~1984
26224271258764979 ~1984
2622517419602738 ~1983
458
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25-06-29